Let's divide 121965 by 65
Our goal is to divide 121965 by 65.

Moving on to step 1:
65 goes into 1 0 times with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Bring next digit (2) of the dividend behind the 1 and repeat the process: 12 / 65

Step 2:
65 can be fit into 12 0 times, resulting in a remainder of 12.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 12, we end up with 12.
Fetch the next digit (1) from the dividend, attach it to 12 and continue: 121 / 65

Step 3:
121 divided by 65 is 1 with a remainder of 56.
The next digit of our result is 1. 
Result so far: 1.0
If we take 65 away from 121, we end up with 56.
Bring next digit (9) of the dividend behind the 56 and repeat the process: 569 / 65

Let's proceed to step 4:
If we divide 569 by 65, we get 8 and a remainder of 49.
Write down 8 as next digit of the result. 
Result so far: 18.0
The remainder is 49 after subtracting 520 from 569.
Fetch the next digit (6) from the dividend, attach it to 49 and continue: 496 / 65

Going ahead to step 5:
When dividing 496 by 65, we get 7 with a remainder of 41.
Use 7 as the next digit of our solution. 
Result so far: 187.0
If we subtract 455 from 496, we get 41.
Fetch the next digit (5) from the dividend, attach it to 41 and continue: 415 / 65

Going ahead to step 6:
If we divide 415 by 65, we get 6 and a remainder of 25.
The next digit of our result is 6. 
Result so far: 1876.0
If we take 390 away from 415, we end up with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Going ahead to step 7:
When dividing 250 by 65, we get 3 with a remainder of 55.
Use 3 as the next digit of our solution. 
Result so far: 1876.3
Deduct 195 from 250 and we're left with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Let's proceed to step 8:
65 can be fit into 550 8 times, resulting in a remainder of 30.
The number 8 becomes the next digit in our result. 
Result so far: 1876.38
If we subtract 520 from 550, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 9:
The number 65 fits into 300 4 times, leaving a remainder of 40.
The number 4 becomes the next digit in our result. 
Result so far: 1876.384
The remainder is 40 after subtracting 260 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 10:
When dividing 400 by 65, we get 6 with a remainder of 10.
Use 6 as the next digit of our solution. 
Result so far: 1876.3846
If we take 390 away from 400, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 11:
If we divide 100 by 65, we get 1 and a remainder of 35.
Put 1 as the next digit of the answer. 
Result so far: 1876.38461
Subtract 65 from 100 to get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Moving on to step 12:
350 divided by 65 is 5 with a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 1876.384615
Subtract 325 from 350 to get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Going ahead to step 13:
65 goes into 250 3 times with a remainder of 55.
Write down 3 as next digit of the result. 
Result so far: 1876.3846153
Deduct 195 from 250 and we're left with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Going ahead to step 14:
The number 65 fits into 550 8 times, leaving a remainder of 30.
Use 8 as the next digit of our solution. 
Result so far: 1876.38461538
Subtracting 520 from 550 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Our division results in 1876.38461538 with a remaining 3e-08.